FINITE POLES AND ZEROS OF LINEAR-SYSTEMS - AN INTRINSIC APPROACH

Several kinds of finite poles and zeros are defined and their relation ships are studied in an intrinsic manner. Some of these definitions ar e more precise than the usual ones (all kinds of multiplicities of an input-output decoupling zero are defined here). In addition, we believ e that our approach clarifies those notions, and it makes it possible to very concisely establish fundamental relationships between various poles and zeros. Some new relationships are derived. The notions of in put-output stability and transfer stability are also introduced. Sever al examples illustrate the theory.